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2 years ago

If you flip a coin and roll a 666-sided die, what is the probability that you will flip a heads and roll a 555?

Mathematics

1 answer:

Murrr4er [49]2 years ago

7 0

Answer:

Assuming that the die has sides that are equal and that the sides are numbered 1 to 666 (since there are 666 sides), then the probability of rolling a 555 and flip a heads is 1/1,332.

Step-by-step explanation:

Probability of flipping a heads: 1/2

Probability of rolling a 555: 1/666

Multiply the two probabilities to get your probability for rolling both.

1/2 times 1/665 is 1/1,332.

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3 years ago

PQ⊥PS , m∠QPR=7x−9, m∠RPS=4x+22<br> Find : m∠QPR

emmainna [20.7K]

Given:

It is given that,

PQ ⊥ PS and

∠QPR = 7x-9

∠RPS = 4x+22

To find the value of ∠QPR.

Formula

As per the given problem PR lies between PQ and PS,

So,

∠QPR+∠RPS = 90°

Now,

Putting the values of ∠RPS and ∠QPR we get,

$7x-9+4x+22 = 90$

or, $11x = 90-22+9$

or, $11x = 77$

or, $x = \frac{77}{11}$

or, $x = 7$

Substituting the value of $x = 7$ in ∠QPR we get,

∠QPR = $7(7)-9$

or, ∠QPR = $40^\circ$

Hence,

The value of ∠QPR is 40°.

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3 years ago

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attashe74 [19]

Answer:

Step-by-step explanation:

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2 years ago

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2 years ago

Prove ABC~EDC ?

erastova [34]

Answer:

AA similarity theorem

Step-by-step explanation:

we know that

<u>AA (Angle-Angle) Similarity</u> states that In two triangles, if two pairs of corresponding angles are congruent, then the triangles are similar

In this problem we have that

∠BCA=∠ECD ----> by vertical angles

∠BAC=∠DEC ---> because AB is parallel to ED (alternate interior angles)

therefore

Triangles ABC and EDC are similar by AA similarity theorem

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3 years ago